Abstract
In this paper we investigate the approximation of a class of parabolic partial differential equations on the unit spheres S n⊂Rn+1 using spherical basis functions. Error estimates in the Sobolev norm are derived.
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Communicated by C.A. Micchelli
The results presented in this paper are taken from the author’s Ph.D. dissertation under supervision of Professor J.D. Ward and Professor F.J. Narcowich at Texas A&M University.
AMS subject classification
35K05, 65M70, 46E22
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Le Gia, Q.T. Approximation of parabolic PDEs on spheres using spherical basis functions. Adv Comput Math 22, 377–397 (2005). https://doi.org/10.1007/s10444-003-3960-9
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DOI: https://doi.org/10.1007/s10444-003-3960-9